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Finding the Third Proportional to 403,768 and 849,386

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Solution

The third proportional to 403,768 and 849,386 is: 1,786,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,768 : 849,386 = 849,386 : x
  2. Step 2: Convert to fraction form
    403,768/849,386 = 849,386/x
  3. Step 3: Cross multiply
    403,768x = 849,386 × 849,386
  4. Step 4: Simplify right side
    403,768x = 721,456,576,996
  5. Step 5: Solve for x
    x = 721,456,576,996/403,768
  6. Step 6: Final answer
    x = 1,786,809.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.